On the Nonnegative Solution of a Freud Three-Term Recurrence

Journal of Approximation Theory

Volumn 99, Issue 1, 1999, Pages 54-67

  Noschese, S ^a   Pasquini, L ^a  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

Author keywords

Freud recurrence; orthonormal polynomials

Indexed keywords

EID: 0041622149     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1006/jath.1998.3313     Document Type: Article

References (13)

1. Freud G. On the greatest zero of an orthogonal polynomial, I. Acta Sci. Math. (Szeged). 34:1973;91-97.
2. Freud G. On the greatest zero of an orthogonal polynomial, II. Acta Sci. Math. (Szeged). 36:1974;49-54.
3. Freud G. On the coefficients in the recursion formulae of orthogonal polynomials. Proc. Roy. Irish Acad. Sci. Sect. A. 76:1976;1-6.
4. Freud G. On the greatest zero of an orthogonal polynomial. J. Approx. Theory. 46:1986;16-24.
5. M. E. H. Ismail, An electrostatics model for zeros of general orthogonal polynomials, Pacific J. Math, in press.
6. Lew J. S., Quarles D. A. Nonnegative solutions of a linear recurrence. J. Approx. Theory. 38:1983;357-379.
7. Magnus A. P. On Freud's equations for exponential weights. J. Approx. Theory. 46:1986;65-99.
8. Máté A., Nevai P., Totik V. Asymptotics for the greatest zeros of orthogonal polynomials. SIAM J. Math. Anal. 17:1986;745-751.
9. β), I. Acta Math. Acad. Sci. Hungar. 24:1973;335-342.
10. 4). Second Edmonton Conference on Approximation Theory. Canad. Math. Soc. Conf. Proc. 3:1983;Amer. Math. Soc. Providence. p. 263-285.
11. 4). SIAM J. Math. Anal. 15:1984;1177-1187.
12. Nevai P. Géza Freud, orthogonal polynomials and Christoffel functions: A case study. J. Approx. Theory. 48:1986;3-167.
13. 6/6). J. Approx. Theory. 50:1987;232-293.